Embibe Experts Solutions for Exercise 2: Assignment

Which of the following is a scalar quantity?

The $y-$component of a velocity is $v \mathrm{m} {\mathrm{s}}^{-1}$ and $x-$component of velocity is $\sqrt{3}\mathrm{vm} {\mathrm{s}}^{-1}$. The direction of the body with the $y-$axis at this instant is

A particle of mass $3 \mathrm{kg}$ starts from rest and accelerates with constant acceleration $\overrightarrow{a}=(\hat{i}-3\hat{j})\mathrm{m} {\mathrm{s}}^{-2}$, then velocity at $t=2 \mathrm{s}$ is

A particle starts from origin moving with velocity $\overrightarrow{v}=\left(3t^2\hat{i}+4t\hat{j}\right)\mathrm{m} {\mathrm{s}}^{-1}$, where $t$ is time in second, then position $\left(\overrightarrow{r}\right)$ of particle as function of $t$ is

The velocity of particle is given by $\overrightarrow{v}=(3\hat{i}+6t\hat{j})\mathrm{m} {\mathrm{s}}^{-1}$, where $t$ is time in second, the equation of trajectory of particle is [Assume, particle starts from origin]

If a body is thrown from the tower of height $\left(h\right)$ with horizontal velocity $v$ then which of the following is independent of initial velocity $v$?

A man can swim with speed $5 \mathrm{m} {\mathrm{s}}^{-1}$. He wants to cross a $100 \mathrm{m}$ wide river flowing at $3 \mathrm{m} {\mathrm{s}}^{-1}$ to reach the point directly opposite to his starting point, in which direction he should try to swim?

The path of a projectile is